A unique one-body position operator for periodic systems
Other Condensed Matter
2022-06-22 v2
Abstract
In this work we proof that the one-body position operator for periodic systems that we have recently proposed [Phys. Rev. B 99, 205144] is unique modulo a phase factor and an additive constant. The proof uses several general physical constraints that a periodic one-body position operator should satisfy. We show that these constraints are sufficient to uniquely define a position operator that is compatible with periodic boundary conditions.
Cite
@article{arxiv.2111.12538,
title = {A unique one-body position operator for periodic systems},
author = {Stefano Evangelisti and Faten Abu-Shoga and Celestino Angeli and Gian Luigi Bendazzoli and J. Arjan Berger},
journal= {arXiv preprint arXiv:2111.12538},
year = {2022}
}